NO. 13

find the arc length parameter along the curve from the point wheret=0 t=0by evaluating the integral

increasing arc length. Arc Length Parameter In Exercises 1114, nd the arc length parameter along the curve from the point where t = O by evaluating the integral t s=/ |V(T)| d1 0 from Equation (3). Then nd the length of the indicated portion of the curve. 11.r(t) = (4 cos t)i + (4 sin t)j + 3tk,0 S t S 7r/2 12.r(t) = (cos t+ t sin t)i+ (sin t t cos t)j,zr/2 S t S 7: 13.r(t) = (et cos t)i+ (et sin t)j + etk,1n4 g t g 0 14.r(t)=(1+2t)i+(1+3t)j+(66t)k,1SISO Page 771